paper

Pull-back of quasi-log structures

arXiv:1401.1854

Abstract

We prove that the pull-back of a quasi-log scheme by a smooth quasi-projective morphism has a natural quasi-log structure. We treat an application to log Fano pairs. This paper also contains a proof of the simple connectedness of log Fano pairs with only log canonical singularities by Kento Fujita.

13 pages, v2: revision following referee's comments. arXiv admin note: text overlap with arXiv:0907.1506, arXiv:1202.5365

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